TOMARI Masataka 泊昌孝

… Alternative Names

泊昌孝トマリマサタカ

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Researcher Number	60183878
Other IDs
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Affiliation (Current)	2025: 日本大学, 文理学部, 教授
Affiliation (based on the past Project Information) *help	2003 – 2010: Nihon University, College of Humanities ad Sciences, Professor, 文理学部, 教授 2000 – 2002: Kanazawa Univ. Fac. Science Assoc.Prof., 理学部, 助教授 1997 – 1999: 金沢大学, 自然科学研究科, 助教授 1992 – 1996: 金沢大学, 理学部, 助教授 1990: 金沢大学, 理学部, 講師
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator 解析学 / Algebra / Algebra / Geometry / 代数学・幾何学
Keywords	Principal Investigator 幾何種数 / 特異点解消 / フィルター付きブロウイングアップ / F-threshold / 有理特異点 / filtered blowing-up / resolution of singularities / 3次元端末特異点 / 正則自己同型群 / 端末特異点 … More / 代数的スタック / 単純K3特異点 / 重複度 / 2次元正規特異点 / universal abelican covering / 2-dimensional singularity / 3-dimensional terminal singularity / geometric genus / elliptic singularity / discrepancy / 3次元端末的特異点 / implicit differential systems / multiplierイデアル / 整閉イデアルの対数的特異点解消 / 2次元楕円型特異点 / 完全交叉性 / ベロネーゼ部分環 / 2次元特異点 / 普遍アーベル被覆 / 次元特異点 / 楕円型特異点 / associated graded rings / order function of local rings / algebraic stacks / Gluck surgery / 3-dimensional terminal singularities / plurigenus / Dehn手術 / 4次元多様体 / 双正則同形問題 / フリップの存存定理 / フィルター付ブロウイングアップ / 付随次数付き環 / 局所環の位数関数 / Gluck手術 / 多重種数 / divisor class group / Milnor number / terminal singulauty / value distrilution theony / rational singulerity / isoloted singularity / multiplicity / blowing up / 有理2重点 / 特異点除去 / 巡回被覆 / ブローイングアップ / セグレ積 / 因子類群 / ミルナー数 / 値分布理論 / 孤立特異点 / ブローイング・アップ / the special log forms / the arithemetic genus / terminal singularities / the Segre product / conjecture of M.Reid / weighted blowing-ups / rational singularities / the normal graded rings / アデ-ル幾何学 / 多様体のホモトピー同値 / 正則曲線の一意性定理 / 因子的ブロ-イングアップ / ネバンリンナ理論 / 対数的微分形式 / 特異点の算術種数 / Segre積 / Reid予想の反例 / 重みつきブローイングアップ / 正規次数付環 / stack / 密着閉包 / exceptional log canonical singularity / 字数付き環 / ベロネーゼ環 / フロベニウス写像 / ニュートン境界 / simple K3特異点 / 超曲面特異点 / 重複度予想 / F-thresholds / 中心フィルトレーション / 非退化完全交差式 / 2次元星型特異点 / ブロウイングアップ / 極大イデアルサイクル / 基本サイクル / ゴレンスタイン性 / 特異点 / 代数幾何学 / 双曲型多様体 / ホモトピー分類 / 値分布論 / 玉河数 / ブロ-イングアップ / 末端的特異点 / 代数群の整数論 / 終着特異点 / 球バンドル / 小林双曲型 / 極小画面 / Gorenstein環 / 標準因子 / 特異点の幾何種数 / ミルナ-数 / filt-zation / L^2-多種種数 / Gorenstein特異点 … More Except Principal Investigator 値分布論 / 正則自己同型群 / 特異点 / tight closure / multiplier ideal / lc threshold / F-threshold / Frobenius写像 / arc space / jet scheme / 代数群 / totally reflexive module / F-rational ring / geometric genus / singularities / Frobenius endomorphism / F-regular ring / 有理特異点 / Hilbert-Kunz重複度 / 整閉イデアル / F-pure threshold / log terminal singularity / Hilbert-Kunz multiplicity / F-pure / ミルナー不変量 / アデール幾何 / 保型形式 / jumping number / 重複度 / 整閉包 / 乗数イデアル / 可換環論 / 端末特異点 / singularity / アデール幾何学 / 複素線型微分方程式 / 絡み目群 / 一意性定理 / 極小曲面 / multiplicity / integral closure / rational singularity / F-正則対 / jumping coefficient / 標数p>0の手法 / totally reflexive加群 / F-有理環 / moduli spase / plurigenera / multipier ideal / complete intersection / integral closed / graded ring / toric variety / moduli space / jet scjeme / regular local ring / F-pure ring / 商特異点 / blowing up / terminal singularity / regular ring / subadditivity / 特異点の解消 / 素元分解環 / 全座標環 / Chow群 / Seifelt手術 / UFD / log resolution / 正則局所環 / thight closure / automorphic forms / Pn'mes and Knots / Milnor number / hypersurface isolated singularities / harmonic inverse mean curvature surfaces / constant mean curvature surfaces / homotopy equivalent manifolds / primary manifolds / 結び目と素数 / ブローイングアップ / ボンネ曲面 / 多様体のホモトピー同値 / 素数と結び目 / ミルナー数 / 超曲面孤立特異点 / 調和逆平均曲率曲面 / 平均曲率一定曲面 / ホモトピー同値な多様体 / 初等多様体 / 3-manifold / number field / Knot / Prime / レダイ記号 / ガロア群 / ガロアコホモロジー / 3次元多様体 / 代数体 / 結び目 / 素数 / CR-invariant / automorphsm group / isolated singularity / adele geometry / algebraic group / automorphic form / uniqueness theorems / value distribution theory / CR-不変計量 / ア-デル幾何 / 正則曲線の一意的定理 / ポアンカレー予想 / ラングの予想 / 一意性問題 / 代数的退化定理 / CR不変量 / 自己同型群 / 孤立特異点 / 代数幾何 / coefficient ideal / Gorenstein環 / a-invariant / test ideal / 次数付環 / 正標数の手法 / 代数幾何学 / 特異点論 / 代数学 / 因子収縮 / integnally closedjlul / log-canonical threshold / integrally closed ideal / lc-threshold / ジェット空間 / 双有理幾何学 / ジェットスキーム / 弧空間 / 有理点の分布 / 単純K3特異点 / CR不変計量 / 正則曲線の一意性定理 / セグレ積 / ミルーナ不変量 / 一般複素楕円体 / 双正則写像 / 双曲的超曲面 / 一意性集合 / 等質空間 / トロッターの積公式 / 幾何種数 / 特異点解消操作 / 双曲的多様体 / 弱1完備多様体 / 中野予想 / 線形系 / Langの予想 / 多変数関数論 / 正則変換群 / 複素直線 / 正則写像 / 双曲型多様体 / 経路積分 / 安定性 / 山辺の方程式 / ゴーレンスタイン性 / ガウス曲率 / 有界ラインハルト領域 / 双正則同択 / 有界領域 / 岩沢理論 / Heegner point / 有理点 / 楕円曲線 Less

Characteristic p method in singularity theory
- Principal Investigator
  
  WATANABE Keichi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Studies on birational morphisms of 3-dimensional Algebraic varieties
- Principal Investigator
  
  HAYAKAWA Takayuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
Research on the singularities of a variety
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
Classification of isolated singularities by means of algebraic geometric studies of invariantsPrincipal Investigator
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Singurality Theory and Frobenius Morphism
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Filtered blowing-up of local rings and algebraic geometric classification of singularitiesPrincipal Investigator
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Research on singularities of a variety
- Principal Investigator
  
  ISHII Shihoko
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Institute of Technology
Filtered blowing-up of singularities and algebraic geometric properties of tangent conePrincipal Investigator
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
  Kanazawa University
Commutative ring theory and singularity theory
- Principal Investigator
  
  WATANABE Keiichi
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Nihon University
Classification of higher dimensional hypersurface singularities in terms of non-degenerate complete intersectionsPrincipal Investigator
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
Arithmetic of algebraic groups and their homogeneous spaces
- Principal Investigator
  
  MORISHITA Masanon
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  kanazawa University
Homotopy theoretical research of manifolds
- Principal Investigator
  
  ISHIMOTO Hiroyasu
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
値分布論の総合的研究
- Principal Investigator
  
  藤本坦孝
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
Geometric Study of Complex Analysis
- Principal Investigator
  
  FUJIMOTO Hirotaka
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
Algebro-geometric studies of rational singularities and related singularities by blowing-upsPrincipal Investigator
- Principal Investigator
  
  TOMARI Masataka
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
複素解析学及び関連諸分野の値分布論的研究
- Principal Investigator
  
  藤本坦孝
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
幾何学的複素解析の総合的研究
- Principal Investigator
  
  大沢健夫
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Nagoya University
値分布論及びその諸分野への応用
- Principal Investigator
  
  藤本ひろ孝
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
2次元及び3次元解析空間の特異点の可換環論Principal Investigator
- Principal Investigator
  
  泊昌孝
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
複素解析空間の特異点の代数幾何Principal Investigator
- Principal Investigator
  
  泊昌孝
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
双曲型多様体と自明でない複素直線を許容しない等質空間
- Principal Investigator
  
  児玉秋雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kanazawa University
複素特異点の例外集合と不変量Principal Investigator
- Principal Investigator
  
  泊昌孝
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kanazawa University
有限型の境界点をもつ有界領域の正則自己周型群による特徴づけ
- Principal Investigator
  
  KODAMA Akio
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kanazawa University
正則写像の値分布に関連した諸問題の研究
- Principal Investigator
  
  藤本坦孝
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
楕円曲線の数理
- Principal Investigator
  
  木田祐司
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Kanazawa University

All 2010 2009 2007 2005 2004 2002

All Journal Article Presentation

[Journal Article] A gesmetric characterization of normal 2-dimensinal Gorenstein singularities with P_a=12005
- Author(s)
  泊昌孝
- Journal Title
  
  Proc. Inst.of Natural Sci.Nihon Univ. 40(掲載予定)
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with pa=12005
- Author(s)
  泊昌孝
- Journal Title
  
  日本大学文埋学部自然科学研究所研究紀要 40
  
  Pages: 179-184
- NAID
  40006716132
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with $p_a=1$2005
- Author(s)
  M.Tomari
- Journal Title
  
  Proc.The Inst.of Natural Scie.Nihon Univ. vol.40
  
  Pages: 179-184
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540043
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with $p_a=1$,2005
- Author(s)
  M.Tomari
- Journal Title
  
  Proc.The Inst.of Nat Scie.Nihon Univ. 40
  
  Pages: 179-184
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with $p_a=1$2005
- Author(s)
  Masataka TOMARI
- Journal Title
  
  Proc. The Inst. of Natural Scie.Nihon Univ. 40
  
  Pages: 179-184
- Data Source
  KAKENHI-PROJECT-16540043
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with $p_a=1$2005
- Author(s)
  M.Tomari
- Journal Title
  
  Proc. The Inst. of Natural Scie. Nihohn Univ. 40(未定)
- Data Source
  KAKENHI-PROJECT-16540043
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with pa=12005
- Author(s)
  泊昌孝
- Journal Title
  
  日本大学文理学部自然科学研究所研究紀要 40
  
  Pages: 179-184
- NAID
  40006716132
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] A geometric characterization of normal two-dimensional Gorenstein singularities with $p_a=1$2005
- Author(s)
  Masataka TOMARI
- Journal Title
  
  Proc. The Inst. of Natural Scie. Nihon Univ. 40
  
  Pages: 179-184
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540043
[Journal Article] A characterization of semi-quasihomogeneous Function in terms of the Milnor number2004
- Author(s)
  M.Tomari, M.Furuya
- Journal Title
  
  Proc.of Amer.Math.Soc. vol.132
  
  Pages: 1885-1890
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440015
[Journal Article] A characterization of semi-quasihomogeneous Function in terms of the Milnor number2004
- Author(s)
  泊昌孝, 古屋雅子
- Journal Title
  
  Proc. Amer. Math. Soc132, (2004) 1885-189 132
  
  Pages: 1885-1890
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] A characterization of semi-quasihomogeneous Function in terms of the Milnor number2004
- Author(s)
  M.Tomari, M.Furuya
- Journal Title
  
  Proc.Amer.Math. Soc132
  
  Pages: 1885-1890
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] A characterization of semi-quasihomogeneous functions in terms of Milnor numbers2004
- Author(s)
  M.Furuya, M.Tomari
- Journal Title
  
  Proceedings of American Mathematical Society 132
  
  Pages: 1885-1890
- Data Source
  KAKENHI-PROJECT-13440015
[Journal Article] Multiplicity of filtere rings and simple K3 singularities of multiplicity two2002
- Author(s)
  泊昌孝
- Journal Title
  
  Publ. RIMS, 38
  
  Pages: 693-724
- NAID
  110001050867
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Journal Article] Multiplicity of filtered rings and simple K3 singularities of mutiplicity two,2002
- Author(s)
  M.Tomari
- Journal Title
  
  Publ.RIMS. 38-4
  
  Pages: 693-724
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340005
[Presentation] 2次元正規特異点のmaximal ideal cycleとfundamental cycleについて2010
- Author(s)
  泊昌孝
- Organizer
  研究集会「特異点山形セミナー2010」
- Place of Presentation
  山形大学
- Year and Date
  2010-03-03
- Data Source
  KAKENHI-PROJECT-18540051
[Presentation] 2次元正規特異点の maximal ideal cycle と fundamental cycle について2010
- Author(s)
  泊昌孝
- Organizer
  研究集会「特異点山形セミナー2010」
- Place of Presentation
  山形大学
- Year and Date
  2010-03-03
- Data Source
  KAKENHI-PROJECT-18540051
[Presentation] Classification of hypersurface simple K3 singularities 95 and others2009
- Author(s)
  泊昌孝
- Organizer
  研究集会「代数幾何in九州」
- Place of Presentation
  九州大学箱崎キャンパス
- Year and Date
  2009-02-02
- Data Source
  KAKENHI-PROJECT-18540051
[Presentation] classification of hypersurface simple K3 singularities- 95 and others2009
- Author(s)
  泊昌孝
- Organizer
  研究集会「代数幾何 in 九州」
- Place of Presentation
  九州大学箱崎キャンパス
- Year and Date
  2009-02-02
- Data Source
  KAKENHI-PROJECT-18540051
[Presentation] Classification of hypersurface simple K3 singularities-95 and others2007
- Author(s)
  泊昌孝
- Organizer
  日本数学会
- Place of Presentation
  埼玉大学理学部
- Year and Date
  2007-03-27
- Data Source
  KAKENHI-PROJECT-18540051
[Presentation] Classification of hypersurface simple K3 singularities-95 and others2007
- Author(s)
  泊昌孝
- Organizer
  埼玉大学理学部, 日本数学会
- Year and Date
  2007-03-27
- Data Source
  KAKENHI-PROJECT-18540051

1. FUJIMOTO Hirotaka (60023595)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
2. KODAMA Akio (20111320)

# of Collaborated Projects: 12 results

# of Collaborated Products: 0 results
3. HAYAKAWA Takayuki (20198823)

# of Collaborated Projects: 9 results

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4. MORISHITA Masanori (40242515)

# of Collaborated Projects: 9 results

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5. ISHIMOTO Hiroyasu (90019472)

# of Collaborated Projects: 8 results

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6. WATANABE Keiichi (10087083)

# of Collaborated Projects: 8 results

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7. 一瀬孝 (20024044)

# of Collaborated Projects: 5 results

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8. FUKUDA Takuo (00009599)

# of Collaborated Projects: 5 results

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9. IWASE Junichi (70183746)

# of Collaborated Projects: 4 results

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10. SUGANO Takashi (30183841)

# of Collaborated Projects: 4 results

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11. 古田孝臣 (50019452)

# of Collaborated Projects: 3 results

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12. 高信敏 (40197124)

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13. MATSUURA Yutaka (50096905)

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14. KURANO Kazuhiko (90205188)

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15. 松村昭孝 (60115938)

# of Collaborated Projects: 2 results

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16. NOGUCHI Junjiro (20033920)

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17. ISHII Shihoko (60202933)

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18. FUJITA Takao (40092324)

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19. TOMARU Tadashi (70132579)

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20. YOSHIDA Kennichi (80240802)

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21. TAKAGI Shunsuke (40380670)

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22. HARA Nobuo (90298167)

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23. 木田祐司 (30113939)

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24. 林田和也 (70023588)

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25. 大沢健夫 (30115802)

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26. 風間英明 (10037252)

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27. 上田哲生 (10127053)

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28. 赤堀隆夫 (40117560)

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29. 小俣正朗 (20214223)

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30. 北原晴夫 (60007119)

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31. 中尾慎太郎 (90030783)

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32. WATANABE Takao (30201198)

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33. 伊藤達郎 (90015909)

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34. FUJIOKA Atsushi (30293335)

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35. MOTEGI Kamahi (40219978)

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36. 鈴木正彦 (00171249)

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37. 辻元 (30172000)

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38. 加須栄篤 (40152657)

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39. OKUMA Tomohiro (00300533)

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40. 橋本光靖 (10208465)

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TOMARI Masataka 泊 昌孝

泊 昌孝 トマリ マサタカ

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Classification of isolated singularities by means of algebraic geometric studies of invariantsPrincipal Investigator

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Filtered blowing-up of local rings and algebraic geometric classification of singularitiesPrincipal Investigator

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Filtered blowing-up of singularities and algebraic geometric properties of tangent conePrincipal Investigator

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Classification of higher dimensional hypersurface singularities in terms of non-degenerate complete intersectionsPrincipal Investigator

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Algebro-geometric studies of rational singularities and related singularities by blowing-upsPrincipal Investigator

TOMARI Masataka 泊昌孝

泊昌孝トマリマサタカ